Sharing of nonlocal advantage of quantum coherence by sequential observers

Datta, Siddhartha; Majumdar, A. S.

doi:10.1103/physreva.98.042311

Cited by 58 publications

(26 citation statements)

References 47 publications

(78 reference statements)

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“…Recently, a surprising result was reported by Silva et al that the number of observers sharing non-locality can be increased if the sequential weak (unsharp) measurement was employed, where the non-signaling condition is dropped [27]. Their result later is confirmed by theoretical [28][29][30] as well as experimental works [31,32], and the sequential unsharp measurement strategy has been extended to study other types of quantum correlation [33][34][35]. It has shown that the maximum number of Alices who can simultaneously share steering with a single Bob can also beat the steering monogamy limits [36][37][38].…”

Section: Introductionmentioning

confidence: 95%

Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state

Han

Xiao

et al. 2021

Quantum Inf Process

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Quantum steering, a type of quantum correlation with unique asymmetry, has important applications in asymmetric quantum information tasks. We consider a new quantum steering scenario in which one half of a two-qubit Werner state is sequentially measured by multiple Alices and the other half by multiple Bobs. We find that the maximum number of Alices who can share steering with a single Bob increases from 2 to 5 when the number of measurement settings N increases from 2 to 16. Furthermore, we find a counterintuitive phenomenon that for a fixed N, at most 2 Alices can share steering with 2 Bobs, while 4 or more Alices are allowed to share steering with a single Bob. We further analyze the robustness of the steering sharing by calculating the required purity of the initial Werner state, the lower bound of which varies from 0.503(1) to 0.979(5). Finally, we show that our both-sides sequential steering sharing scheme can be applied to control the steering ability, even the steering direction, if an initial asymmetric state or asymmetric measurement is adopted. Our work gives insights into the diversity of steering sharing and can be extended to study the problems such as genuine multipartite quantum steering when the sequential unsharp measurement is applied.

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Section: Introductionmentioning

confidence: 95%

Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state

Han

Xiao

et al. 2021

Quantum Inf Process

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“…In this scenario, the maximum number of Bobs was deduced [20][21][22][23][24][25] that can demonstrate Bell nonlocality [26]. This idea of sharing quantum correlations by multiple sequential observers has been extended in different contexts as well [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. The applications of sequential sharing of quantum correlations in different quantum information processing tasks have also been demonstrated [16,[43][44][45][46][47][48][49][50].…”

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confidence: 93%

Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits

Das,

Ghosal,

Maity

et al. 2021

Preprint

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Recycling a single quantum resource in information processing and communication tasks multiple times is of paramount significance from foundational and practical perspective. Here we consider a scenario involving multiple independent pairs of observers acting with unbiased inputs on a single pair of spatially separated qubits sequentially. In this scenario, we address whether more than one pair of observers can demonstrate quantum advantage in some specific 2 → 1 and 3 → 1 random access codes. Interestingly, we not only address these in the affirmative, but also illustrate that an unbounded pairs can exhibit quantum advantage. Furthermore, these results remain valid even when all observers perform suitable projective measurements and an appropriate separable state is initially shared.

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“…The question of sharing of quantum correlations was first raised in the context of Bell-nonlocality [25,26], and has been experimentally demonstrated too [29][30][31]. Studies on sequential sharing of quantum correlations have been extended in several different directions, such as Bell-type nonlocality with multiple settings [32,33], detection of entanglement [34,35], detecting bipartite [36,37], and tripartite steerability [38], steerability of local quantum coherence [39], potential shareability of a teleportation channel [40] and generation of unbounded randomness [41]. In all the above cases, each Bob at the clustered side implements unbiased and unsharp measurement for all chosen observables.…”

Section: Introductionmentioning

confidence: 99%

Remote state preparation by multiple observers using a single copy of a two-qubit entangled state

Datta¹,

Mal²,

Pati³

et al. 2021

Preprint

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We consider a scenario of remote state preparation of qubits where a single copy of an entangled state is shared between Alice and several Bobs who sequentially perform unsharp single-particle measurements. We show that a substantial number of Bobs can optimally and reliably prepare the qubit in Alice's lab exceeding the classical realm. There can be at most 16 Bobs in a sequence when the state is chosen from the equatorial circle of the Bloch sphere. In general, depending upon the choice of a circle from the Bloch sphere, the optimum number of Bobs ranges from 12 for the worst choice, to become remarkably very large corresponding to circles in the polar regions, in case of an initially shared maximally entangled state. We further show that the bound on the number of observers successful in implementing remote state preparation is higher for maximally entangled initial states than that for non-maximally entangled initial states.

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Sharing of nonlocal advantage of quantum coherence by sequential observers

Cited by 58 publications

References 47 publications

Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state

Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state

Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits

Remote state preparation by multiple observers using a single copy of a two-qubit entangled state

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